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On the Theory of Surface and Impurity States
Author(s) -
Levine R. D.,
Amos A. T.
Publication year - 1967
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19670190210
Subject(s) - impurity , hamiltonian (control theory) , formalism (music) , chemisorption , physics , quantum mechanics , condensed matter physics , chemistry , atomic physics , mathematics , art , mathematical optimization , musical , visual arts , adsorption
A formalism is developed for perturbation theory in which the Hamiltonian is resolved as H = H 0 + V 1 + V 2 and the two perturbing potentials V 1 and V 2 are not treated in a symmetric fashion. All the operators are expressed in the H 0 representation so that the formalism has particular applications in the theory of impurity states and surface and chemisorption states since H 0 can be taken as that part of the Hamiltonian which acts on individual atomic sites, V 1 the interatomic interaction and V 2 , which will have only a small number of non‐zero matrix elements, the effect of the surface or impurity atoms. These applications are illustrated using the linear chain as a model for a one‐dimensional crystal, and the present theory allows the results to be obtained in a very simple way.